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Finding the Fourth Proportional to 702.13, 968.95 and 403.40

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Solution

The fourth proportional to 702.13, 968.95 and 403.40 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.13 : 968.95 = 403.40 : x
  2. Step 2: Convert to fraction form
    702.13/968.95 = 403.40/x
  3. Step 3: Cross multiply
    702.13x = 968.95 × 403.40
  4. Step 4: Simplify right side
    702.13x = 390,874.43
  5. Step 5: Solve for x
    x = 390,874.43/702.13
  6. Step 6: Final answer
    x = 556.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.